%0 Journal Article %A Martínez, Nuria %A Gómez González, Daniel %A Olaso Redondo, Pablo %A Rojas Patuelli, Karina %A Montero De Juan, Francisco Javier %T A novel ordered weighted averaging weight determination based on ordinal dispersion %D 2019 %@ 0884-8173 %@ 1098-111X %U https://hdl.handle.net/20.500.14352/110904 %X Inspired by the Zadeh approach to fuzzy connectives in fuzzy set theory and by some applications, we introduce and study set-based extended functions, and in particular, set-based extended aggregation functions. These functions reflect neither reordering nor repetition of input values, and, linking different arities, they introduce serious constraints for extended functions. A complete characterization of set-based extended (aggregation) functions is given, and some constructions of such functions are also proposed, including several examples. %~